Final answer:
The equation of the line in slope-intercept form is y = -2x - 7.
Step-by-step explanation:
To write the equation of a line in slope-intercept form, we need to know the slope and the y-intercept. The slope can be found using the formula: slope = (y2 - y1) / (x2 - x1). Let's use the given points: (-2, -3) and (4, -15) to find the slope:
slope = (-15 - (-3)) / (4 - (-2)) = -12 / 6 = -2
Now that we have the slope, we can use one of the points together with the slope to find the y-intercept. Let's use the point (-2, -3):
-3 = -2(-2) + b
-3 = 4 + b
b = -7
Therefore, the equation of the line in slope-intercept form is: y = -2x - 7.
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